Smoothness and analyticity of perturbation expansions in QED
Mathematical Physics
2010-09-07 v2 math.MP
Abstract
We consider the ground state of an atom in the framework of non-relativistic qed. We assume that the ultraviolet cutoff is of the order of the Rydberg energy and that the atomic Hamiltonian has a non-degenerate ground state. We show that the ground state energy and the ground state are k-times continuously differentiable functions of the fine structure constant and respectively the square root of the fine structure constant on some nonempty interval [0,c_k).
Cite
@article{arxiv.1007.0969,
title = {Smoothness and analyticity of perturbation expansions in QED},
author = {David Hasler and Ira Herbst},
journal= {arXiv preprint arXiv:1007.0969},
year = {2010}
}
Comments
53 pages